A241324 Number of nX3 0..3 arrays with no element equal to fewer vertical neighbors than horizontal neighbors, with new values 0..3 introduced in row major order.

2, 59, 2344, 95144, 3875244, 157912026, 6435036610, 262234101215, 10686305830308, 435477843275035, 17746165666239258, 723174326871008607, 29470090437788760318, 1200936203282125872968, 48939373545548944414862

Offset: 1

Author

R. H. Hardin, Apr 19 2014

Keywords

• nonn

Comments

Column 3 of A241328

Examples

			Some solutions for n=4
..0..1..0....0..1..2....0..1..2....0..1..0....0..1..2....0..1..0....0..1..1
..0..2..3....3..0..0....0..2..0....2..0..1....3..0..1....1..2..3....2..1..1
..3..2..3....1..0..0....1..3..0....0..1..0....0..2..3....1..2..0....2..3..0
..2..1..3....1..2..3....0..1..0....3..0..2....0..2..3....0..3..0....3..1..0
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 45*a(n-1) -171*a(n-2) -57*a(n-3) -1321*a(n-4) +2701*a(n-5) +10837*a(n-6) +5209*a(n-7) +13262*a(n-8) -1578*a(n-9) -7272*a(n-10) -5706*a(n-11) -17487*a(n-12) -2511*a(n-13) +4779*a(n-14) -729*a(n-15)